Axial gravity, massless fermions and trace anomalies

Axial gravity, massless fermions and trace anomalies
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轴向重力、无质量费米子和微量异常

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
T. Štemberga
T. Štemberga
中科院分区:
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文献类型:
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作者:
L. Bonora;L. Bonora;M. Cvitan;P. Prester;A. Pereira;A. Pereira;S. Giaccari;T. Štemberga

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这篇文章涉及两个主要主题。一是四维弯曲背景下Weyl费米子理论中的奇宇称迹反常,二是轴向引力的引入。重新考虑前者的动机是澄清该方法的理论背景,并完成异常的计算。参考是特别是外尔和无质量马约拉纳费米子之间的差异和可能的贡献,从蝌蚪和海鸥条款的费曼图的方法。第一,基本的,本文的结果是,更彻底的治疗,考虑到这些额外的条款,并使用维正则化,证实了早期的结果。除了通常的引力度规之外,轴对称张量的引入有助于使用狄拉克费米子对相同结果进行不同的推导,狄拉克费米子不仅与通常的度规耦合,而且还与附加的轴向张量耦合。马约拉纳费米子和外尔费米子的作用量可以在这样一种一般组态的两种不同极限下得到。以这种方式获得的结果证实了先前获得的结果。
This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the theoretical background underlying the approach and complete the calculation of the anomaly. The reference is in particular to the difference between Weyl and massless Majorana fermions and to the possible contributions from tadpole and seagull terms in the Feynman diagram approach. A first, basic, result of this paper is that a more thorough treatment, taking account of such additional terms and using dimensional regularization, confirms the earlier result. The introduction of an axial symmetric tensor besides the usual gravitational metric is instrumental to a different derivation of the same result using Dirac fermions, which are coupled not only to the usual metric but also to the additional axial tensor. The action of Majorana and Weyl fermions can be obtained in two different limits of such a general configuration. The results obtained in this way confirm the previously obtained ones.
Ginsparg-Wilson 方程的手性解
DOI: 10.1103/physrevd.94.114504
发表时间: 2016
期刊: Physical Review D
影响因子: 5
作者:
Grabowska, Dorota M.;Kaplan, David B.
通讯作者: Kaplan, David B.